GCD of 224, 884, 644, 382 Calculator

Given Input numbers are 224, 884, 644, 382

In the factoring method, we have to find the divisors of all numbers

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (224, 884, 644, 382) = 2.

Given numbers are 224, 884, 644, 382

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 224, 884, 644, 382 is 2.

Given numbers are 224, 884, 644, 382

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(224, 884) = 49504

GCD(224, 884) = ( 224 x 884 ) / 49504

= 224 / 884

= 224

Step2:

LCM(4, 644) = 644

GCD(4, 644) = ( 4 x 644 ) / 644

= 4 / 644

= 4

Step3:

LCM(4, 382) = 764

GCD(4, 382) = ( 4 x 382 ) / 764

= 4 / 382

= 4

So, Greatest Common Divisor of 224, 884, 644, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 583, 672, 421
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Given numbers are 224, 884, 644, 382
The greatest common divisor of numbers 224, 884, 644, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 884, 644, 382 is 2.

1. What is the GCD of 224, 884, 644, 382?

GCD of given numbers 224, 884, 644, 382 is 2

2. How to calculate the greatest common divisor of 224, 884, 644, 382?

We can find the highest common divisor of 224, 884, 644, 382 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 224, 884, 644, 382 i.e 2.

3. How can I use the GCD of 224, 884, 644, 382Calculator?

Out the numbers 224, 884, 644, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.